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710 papers from the QNFO program, filed on nine shelves by the reader each one is written for: energy per answer, error correction, physics, numbers and p-adics, logic and formalism, AI and knowledge, autonomous systems, assessments, and cross-cutting essays. Every page renders its mathematics and can be questioned in place. How a living paper works.
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Error correction papers 4 papers
Error-correction researchers and quantum hardware teams. Codes, decoders and the cost of keeping a logical qubit alive: stabilizer, surface, LDPC, concatenated and ultrametric constructions, fault-tolerance thresholds, leakage, syndromes and circuit mapping onto real hardware.
p-adic. p-adic numbers and valuation-driven models Tagged papers: 82.
Ultrametric Quantum Computing as the Natural Realization of Adelic Factoring
Integer factorisation underpins modern public‑key cryptography, yet classical algorithms such as the General Number Field Sieve (GNFS) scale sub‑exponentially and quantum Shor’s algorithm requires fault‑tolerant hardware that remains unavailable. A gap therefore exists between the theoretical…
Implications for Computing and Quantum Error Correction
The anchor paper introduced the branch-depth reading: the p-adic valuation $v_p(n)$ is a measure of depth along a prime branch of the integer factorization tree (not a measure of size), and because the tensor product multiplies Hilbert-space dimensions, $v_2(\dim H) = n$ counts tensor-branch depth…
Passive Error Resilience Through Ultrametric Geometry: A Proposal for p-Adic Quantum Metrology
Active quantum error correction is the dominant paradigm for achieving fault-tolerant quantum computation, but its thermodynamic cost at utility scale remains unaddressed. Each round of syndrome extraction, decoding, and feedback erases information — and under Landauer's principle, that erasure…
Adelic Quantum Error Correction: A Synthesis Across All Primes v1.0.0
The $p$-adic quantum error correction program has developed three independent but connected strands: a mathematical theory of $p$-adic stabilizer codes (Phase A), an experimental protocol to test for ultrametric error structure (Phase B), and a hardware co-design proposal for tree-structured qubit…
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